Electric vehicles (EVs) are being introduced by different manufacturers as an environment- friendly alternative to vehicles with internal combustion engines, with several benefits. The …
The lion's share of this chapter is devoted to the construction of equilibria for mean field games with a common noise. We develop a general two-step strategy for the search of weak …
Z Ma, DS Callaway, IA Hiskens - IEEE Transactions on control …, 2011 - ieeexplore.ieee.org
This paper develops a strategy to coordinate the charging of autonomous plug-in electric vehicles (PEVs) using concepts from non-cooperative games. The foundation of the paper is …
R Carmona, F Delarue - SIAM Journal on Control and Optimization, 2013 - SIAM
The purpose of this paper is to provide a complete probabilistic analysis of a large class of stochastic differential games with mean field interactions. We implement the Mean-Field …
PE Caines - Encyclopedia of systems and control, 2021 - Springer
The notion of the infinite population limit of large population games where agents are realized by controlled stochastic dynamical systems is introduced. The theory of infinite …
We consider stochastic dynamic games in large population conditions where multiclass agents are weakly coupled via their individual dynamics and costs. We approach this large …
M Huang, PE Caines… - IEEE transactions on …, 2007 - ieeexplore.ieee.org
We consider linear quadratic Gaussian (LQG) games in large population systems where the agents evolve according to nonuniform dynamics and are coupled via their individual costs …
A Bensoussan, KCJ Sung, SCP Yam… - Journal of Optimization …, 2016 - Springer
We provide a comprehensive study of a general class of linear-quadratic mean field games. We adopt the adjoint equation approach to investigate the unique existence of their …
This book grew out of the lecture notes I prepared for a graduate class I taught at Princeton University in 2011–12, and again in 2012–13. My goal was to introduce the students to …